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3x+5=7x+3
Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by x+2.
3x+5-7x=3
Subtract 7x from both sides.
-4x+5=3
Combine 3x and -7x to get -4x.
-4x=3-5
Subtract 5 from both sides.
-4x=-2
Subtract 5 from 3 to get -2.
x=\frac{-2}{-4}
Divide both sides by -4.
x=\frac{1}{2}
Reduce the fraction \frac{-2}{-4} to lowest terms by extracting and canceling out -2.